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Finding the Third Proportional to 204,666.75 and 293,073.19

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Solution

The third proportional to 204,666.75 and 293,073.19 is: 419,667.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,666.75 : 293,073.19 = 293,073.19 : x
  2. Step 2: Convert to fraction form
    204,666.75/293,073.19 = 293,073.19/x
  3. Step 3: Cross multiply
    204,666.75x = 293,073.19 × 293,073.19
  4. Step 4: Simplify right side
    204,666.75x = 85,891,893,231.41
  5. Step 5: Solve for x
    x = 85,891,893,231.41/204,666.75
  6. Step 6: Final answer
    x = 419,667.06

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.